Current Betti Table Entry:
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33 |
| 0 |
(4,0,0) |
(10,1,0) |
(16,1,1) |
(21,3,1) |
(26,4,2) |
(31,4,4) |
? |
? |
? |
? |
? |
? |
? |
? |
? |
· |
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| 1 |
· |
· |
· |
· |
· |
? |
? |
? |
? |
? |
? |
? |
? |
? |
(63,30,16) |
(66,30,20) |
(68,34,21) |
(70,37,23) |
(72,39,26) |
(74,40,30) |
(76,40,35) |
(77,46,35) |
(78,51,36) |
(79,55,38) |
(80,58,41) |
(81,60,45) |
(82,61,50) |
(83,61,56) |
(83,67,57) |
(83,72,59) |
(83,76,62) |
(83,79,66) |
(83,81,71) |
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| 2 |
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(83,83,83) |
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27 |
28 |
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31 |
32 |
33 |
| 0 |
1 |
4 |
27 |
55 |
82 |
109 |
? |
? |
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· |
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· |
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| 1 |
· |
· |
· |
· |
· |
? |
? |
? |
? |
? |
? |
? |
? |
? |
362 |
372 |
378 |
377 |
371 |
363 |
348 |
333 |
310 |
284 |
256 |
227 |
197 |
162 |
130 |
99 |
67 |
34 |
3 |
· |
| 2 |
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1 |
\(\lambda=(74,72,61)\)
- Multiplicity: 162
- Dimension: 270
- Dominant: No
\(\lambda=(80,76,51)\)
- Multiplicity: 2
- Dimension: 2015
- Dominant: No
\(\lambda=(79,70,58)\)
- Multiplicity: 97
- Dimension: 1495
- Dominant: No
\(\lambda=(71,69,67)\)
- Multiplicity: 64
- Dimension: 27
- Dominant: No
\(\lambda=(81,65,61)\)
- Multiplicity: 28
- Dimension: 935
- Dominant: No
\(\lambda=(82,71,54)\)
- Multiplicity: 2
- Dimension: 3240
- Dominant: No
\(\lambda=(77,73,57)\)
- Multiplicity: 91
- Dimension: 935
- Dominant: No
\(\lambda=(76,67,64)\)
- Multiplicity: 188
- Dimension: 280
- Dominant: No
\(\lambda=(74,70,63)\)
- Multiplicity: 250
- Dimension: 260
- Dominant: No
\(\lambda=(80,74,53)\)
- Multiplicity: 8
- Dimension: 2233
- Dominant: No
\(\lambda=(79,68,60)\)
- Multiplicity: 121
- Dimension: 1134
- Dominant: No
\(\lambda=(81,63,63)\)
- Multiplicity: 7
- Dimension: 190
- Dominant: No
\(\lambda=(82,69,56)\)
- Multiplicity: 6
- Dimension: 2744
- Dominant: No
\(\lambda=(78,77,52)\)
- Multiplicity: 3
- Dimension: 728
- Dominant: No
\(\lambda=(77,71,59)\)
- Multiplicity: 175
- Dimension: 910
- Dominant: No
\(\lambda=(74,68,65)\)
- Multiplicity: 191
- Dimension: 154
- Dominant: No
\(\lambda=(80,72,55)\)
- Multiplicity: 26
- Dimension: 2187
- Dominant: No
\(\lambda=(79,66,62)\)
- Multiplicity: 97
- Dimension: 665
- Dominant: No
\(\lambda=(75,74,58)\)
- Multiplicity: 64
- Dimension: 323
- Dominant: No
\(\lambda=(72,71,64)\)
- Multiplicity: 115
- Dimension: 80
- Dominant: No
\(\lambda=(82,67,58)\)
- Multiplicity: 9
- Dimension: 2080
- Dominant: No
\(\lambda=(78,75,54)\)
- Multiplicity: 18
- Dimension: 1144
- Dominant: No
\(\lambda=(77,69,61)\)
- Multiplicity: 231
- Dimension: 729
- Dominant: No
\(\lambda=(75,72,60)\)
- Multiplicity: 177
- Dimension: 442
- Dominant: No
\(\lambda=(80,70,57)\)
- Multiplicity: 51
- Dimension: 1925
- Dominant: No
\(\lambda=(79,64,64)\)
- Multiplicity: 21
- Dimension: 136
- Dominant: No
\(\lambda=(72,69,66)\)
- Multiplicity: 120
- Dimension: 64
- Dominant: No
\(\lambda=(82,65,60)\)
- Multiplicity: 9
- Dimension: 1296
- Dominant: No
\(\lambda=(78,73,56)\)
- Multiplicity: 60
- Dimension: 1296
- Dominant: No
\(\lambda=(77,67,63)\)
- Multiplicity: 191
- Dimension: 440
- Dominant: No
\(\lambda=(75,70,62)\)
- Multiplicity: 268
- Dimension: 405
- Dominant: No
\(\lambda=(80,68,59)\)
- Multiplicity: 69
- Dimension: 1495
- Dominant: No
\(\lambda=(81,74,52)\)
- Multiplicity: 2
- Dimension: 2852
- Dominant: No
\(\lambda=(76,76,55)\)
- Multiplicity: 9
- Dimension: 253
- Dominant: No
\(\lambda=(73,73,61)\)
- Multiplicity: 64
- Dimension: 91
- Dominant: No
\(\lambda=(79,77,51)\)
- Multiplicity: 2
- Dimension: 1215
- Dominant: No
\(\lambda=(82,63,62)\)
- Multiplicity: 4
- Dimension: 440
- Dominant: No
\(\lambda=(78,71,58)\)
- Multiplicity: 123
- Dimension: 1232
- Dominant: No
\(\lambda=(77,65,65)\)
- Multiplicity: 45
- Dimension: 91
- Dominant: No
\(\lambda=(70,70,67)\)
- Multiplicity: 22
- Dimension: 10
- Dominant: No
\(\lambda=(75,68,64)\)
- Multiplicity: 234
- Dimension: 260
- Dominant: No
\(\lambda=(80,66,61)\)
- Multiplicity: 63
- Dimension: 945
- Dominant: No
\(\lambda=(81,72,54)\)
- Multiplicity: 8
- Dimension: 2755
- Dominant: No
\(\lambda=(76,74,57)\)
- Multiplicity: 62
- Dimension: 567
- Dominant: No
\(\lambda=(73,71,63)\)
- Multiplicity: 181
- Dimension: 162
- Dominant: No
\(\lambda=(79,75,53)\)
- Multiplicity: 12
- Dimension: 1610
- Dominant: No
\(\lambda=(83,67,57)\)
- Multiplicity: 1
- Dimension: 2618
- Dominant: Yes
\(\lambda=(78,69,60)\)
- Multiplicity: 172
- Dimension: 1000
- Dominant: No
\(\lambda=(75,66,66)\)
- Multiplicity: 53
- Dimension: 55
- Dominant: No
\(\lambda=(80,64,63)\)
- Multiplicity: 27
- Dimension: 323
- Dominant: No
\(\lambda=(81,70,56)\)
- Multiplicity: 19
- Dimension: 2430
- Dominant: No
\(\lambda=(76,72,59)\)
- Multiplicity: 162
- Dimension: 665
- Dominant: No
\(\lambda=(73,69,65)\)
- Multiplicity: 193
- Dimension: 125
- Dominant: No
\(\lambda=(79,73,55)\)
- Multiplicity: 36
- Dimension: 1729
- Dominant: No
\(\lambda=(83,65,59)\)
- Multiplicity: 1
- Dimension: 1729
- Dominant: No
\(\lambda=(78,67,62)\)
- Multiplicity: 159
- Dimension: 648
- Dominant: No
\(\lambda=(81,68,58)\)
- Multiplicity: 30
- Dimension: 1925
- Dominant: No
\(\lambda=(77,76,54)\)
- Multiplicity: 12
- Dimension: 575
- Dominant: No
\(\lambda=(76,70,61)\)
- Multiplicity: 250
- Dimension: 595
- Dominant: No
\(\lambda=(73,67,67)\)
- Multiplicity: 51
- Dimension: 28
- Dominant: No
\(\lambda=(74,73,60)\)
- Multiplicity: 103
- Dimension: 224
- Dominant: No
\(\lambda=(83,63,61)\)
- Multiplicity: 1
- Dimension: 756
- Dominant: No
\(\lambda=(79,71,57)\)
- Multiplicity: 77
- Dimension: 1620
- Dominant: No
\(\lambda=(78,65,64)\)
- Multiplicity: 66
- Dimension: 224
- Dominant: No
\(\lambda=(71,70,66)\)
- Multiplicity: 73
- Dimension: 35
- Dominant: No
\(\lambda=(81,66,60)\)
- Multiplicity: 31
- Dimension: 1288
- Dominant: No
\(\lambda=(82,72,53)\)
- Multiplicity: 1
- Dimension: 3410
- Dominant: Yes
\(\lambda=(77,74,56)\)
- Multiplicity: 52
- Dimension: 874
- Dominant: No
\(\lambda=(76,68,63)\)
- Multiplicity: 244
- Dimension: 405
- Dominant: No
\(\lambda=(74,71,62)\)
- Multiplicity: 219
- Dimension: 280
- Dominant: No
\(\lambda=(80,75,52)\)
- Multiplicity: 4
- Dimension: 2160
- Dominant: No
\(\lambda=(79,69,59)\)
- Multiplicity: 116
- Dimension: 1331
- Dominant: No
\(\lambda=(71,68,68)\)
- Multiplicity: 20
- Dimension: 10
- Dominant: No
\(\lambda=(81,64,62)\)
- Multiplicity: 17
- Dimension: 567
- Dominant: No
\(\lambda=(82,70,55)\)
- Multiplicity: 4
- Dimension: 3016
- Dominant: No
\(\lambda=(77,72,58)\)
- Multiplicity: 130
- Dimension: 945
- Dominant: No
\(\lambda=(76,66,65)\)
- Multiplicity: 102
- Dimension: 143
- Dominant: No
\(\lambda=(74,69,64)\)
- Multiplicity: 244
- Dimension: 216
- Dominant: No
\(\lambda=(80,73,54)\)
- Multiplicity: 16
- Dimension: 2240
- Dominant: No
\(\lambda=(79,67,61)\)
- Multiplicity: 118
- Dimension: 910
- Dominant: No
\(\lambda=(75,75,57)\)
- Multiplicity: 25
- Dimension: 190
- Dominant: No
\(\lambda=(72,72,63)\)
- Multiplicity: 59
- Dimension: 55
- Dominant: No
\(\lambda=(82,68,57)\)
- Multiplicity: 8
- Dimension: 2430
- Dominant: No
\(\lambda=(78,76,53)\)
- Multiplicity: 8
- Dimension: 972
- Dominant: No
\(\lambda=(77,70,60)\)
- Multiplicity: 209
- Dimension: 836
- Dominant: No
\(\lambda=(69,69,69)\)
- Multiplicity: 3
- Dimension: 1
- Dominant: No
\(\lambda=(74,67,66)\)
- Multiplicity: 109
- Dimension: 80
- Dominant: No
\(\lambda=(80,71,56)\)
- Multiplicity: 37
- Dimension: 2080
- Dominant: No
\(\lambda=(79,65,63)\)
- Multiplicity: 66
- Dimension: 405
- Dominant: No
\(\lambda=(75,73,59)\)
- Multiplicity: 121
- Dimension: 405
- Dominant: No
\(\lambda=(72,70,65)\)
- Multiplicity: 134
- Dimension: 81
- Dominant: No
\(\lambda=(82,66,59)\)
- Multiplicity: 10
- Dimension: 1700
- Dominant: No
\(\lambda=(78,74,55)\)
- Multiplicity: 35
- Dimension: 1250
- Dominant: No
\(\lambda=(77,68,62)\)
- Multiplicity: 219
- Dimension: 595
- Dominant: No
\(\lambda=(75,71,61)\)
- Multiplicity: 237
- Dimension: 440
- Dominant: No
\(\lambda=(80,69,58)\)
- Multiplicity: 62
- Dimension: 1728
- Dominant: No
\(\lambda=(81,75,51)\)
- Multiplicity: 1
- Dimension: 2800
- Dominant: Yes
\(\lambda=(72,68,67)\)
- Multiplicity: 72
- Dimension: 35
- Dominant: No
\(\lambda=(79,78,50)\)
- Multiplicity: 1
- Dimension: 899
- Dominant: Yes
\(\lambda=(82,64,61)\)
- Multiplicity: 7
- Dimension: 874
- Dominant: No
\(\lambda=(78,72,57)\)
- Multiplicity: 89
- Dimension: 1288
- Dominant: No
\(\lambda=(77,66,64)\)
- Multiplicity: 123
- Dimension: 270
- Dominant: No
\(\lambda=(75,69,63)\)
- Multiplicity: 275
- Dimension: 343
- Dominant: No
\(\lambda=(80,67,60)\)
- Multiplicity: 71
- Dimension: 1232
- Dominant: No
\(\lambda=(81,73,53)\)
- Multiplicity: 5
- Dimension: 2835
- Dominant: No
\(\lambda=(76,75,56)\)
- Multiplicity: 31
- Dimension: 440
- Dominant: No
\(\lambda=(73,72,62)\)
- Multiplicity: 124
- Dimension: 143
- Dominant: No
\(\lambda=(79,76,52)\)
- Multiplicity: 5
- Dimension: 1450
- Dominant: No
\(\lambda=(78,70,59)\)
- Multiplicity: 152
- Dimension: 1134
- Dominant: No
\(\lambda=(70,69,68)\)
- Multiplicity: 22
- Dimension: 8
- Dominant: No
\(\lambda=(75,67,65)\)
- Multiplicity: 163
- Dimension: 162
- Dominant: No
\(\lambda=(80,65,62)\)
- Multiplicity: 47
- Dimension: 640
- Dominant: No
\(\lambda=(81,71,55)\)
- Multiplicity: 14
- Dimension: 2618
- Dominant: No
\(\lambda=(76,73,58)\)
- Multiplicity: 110
- Dimension: 640
- Dominant: No
\(\lambda=(73,70,64)\)
- Multiplicity: 200
- Dimension: 154
- Dominant: No
\(\lambda=(79,74,54)\)
- Multiplicity: 21
- Dimension: 1701
- Dominant: No
\(\lambda=(83,66,58)\)
- Multiplicity: 1
- Dimension: 2187
- Dominant: No
\(\lambda=(78,68,61)\)
- Multiplicity: 176
- Dimension: 836
- Dominant: No
\(\lambda=(81,69,57)\)
- Multiplicity: 26
- Dimension: 2197
- Dominant: No
\(\lambda=(77,77,53)\)
- Multiplicity: 4
- Dimension: 325
- Dominant: No
\(\lambda=(76,71,60)\)
- Multiplicity: 214
- Dimension: 648
- Dominant: No
\(\lambda=(73,68,66)\)
- Multiplicity: 130
- Dimension: 81
- Dominant: No
\(\lambda=(74,74,59)\)
- Multiplicity: 39
- Dimension: 136
- Dominant: No
\(\lambda=(79,72,56)\)
- Multiplicity: 55
- Dimension: 1700
- Dominant: No
\(\lambda=(83,64,60)\)
- Multiplicity: 1
- Dimension: 1250
- Dominant: No
\(\lambda=(78,66,63)\)
- Multiplicity: 120
- Dimension: 442
- Dominant: No
\(\lambda=(71,71,65)\)
- Multiplicity: 52
- Dimension: 28
- Dominant: No
\(\lambda=(81,67,59)\)
- Multiplicity: 34
- Dimension: 1620
- Dominant: No
\(\lambda=(77,75,55)\)
- Multiplicity: 29
- Dimension: 756
- Dominant: No
\(\lambda=(76,69,62)\)
- Multiplicity: 266
- Dimension: 512
- Dominant: No
\(\textbf{a}=(62,64,81)\)
- Multiplicity: 345
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,70,74)\)
- Multiplicity: 21490
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,62,62)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,82,60)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,76,67)\)
- Multiplicity: 14429
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,56,69)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,57,81)\)
- Multiplicity: 110
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,77,79)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,63,74)\)
- Multiplicity: 21490
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,75,60)\)
- Multiplicity: 7992
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,81,53)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,69,67)\)
- Multiplicity: 50753
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,70,79)\)
- Multiplicity: 959
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,56,74)\)
- Multiplicity: 857
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,76,72)\)
- Multiplicity: 4589
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,68,60)\)
- Multiplicity: 1728
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,74,53)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,82,65)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,62,67)\)
- Multiplicity: 4602
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,63,79)\)
- Multiplicity: 2645
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,69,72)\)
- Multiplicity: 43237
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,81,58)\)
- Multiplicity: 159
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,75,65)\)
- Multiplicity: 21807
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,56,79)\)
- Multiplicity: 400
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,76,77)\)
- Multiplicity: 208
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,62,72)\)
- Multiplicity: 18589
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,82,70)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,80,51)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,74,58)\)
- Multiplicity: 3358
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,68,65)\)
- Multiplicity: 28530
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,69,77)\)
- Multiplicity: 6201
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,55,72)\)
- Multiplicity: 113
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,67,58)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,81,63)\)
- Multiplicity: 357
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,61,65)\)
- Multiplicity: 315
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,75,70)\)
- Multiplicity: 14316
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,62,77)\)
- Multiplicity: 7533
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,80,56)\)
- Multiplicity: 195
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,74,63)\)
- Multiplicity: 21490
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,68,70)\)
- Multiplicity: 55793
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,69,82)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,55,77)\)
- Multiplicity: 450
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,75,75)\)
- Multiplicity: 1920
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,67,63)\)
- Multiplicity: 8653
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,73,56)\)
- Multiplicity: 639
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,81,68)\)
- Multiplicity: 159
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,61,70)\)
- Multiplicity: 8725
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,62,82)\)
- Multiplicity: 70
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,68,75)\)
- Multiplicity: 20064
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,80,61)\)
- Multiplicity: 936
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,74,68)\)
- Multiplicity: 28530
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,55,82)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,75,80)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,61,75)\)
- Multiplicity: 11055
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,81,73)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,73,61)\)
- Multiplicity: 13296
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,79,54)\)
- Multiplicity: 116
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,67,68)\)
- Multiplicity: 45825
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,68,80)\)
- Multiplicity: 616
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,54,75)\)
- Multiplicity: 172
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,74,73)\)
- Multiplicity: 8817
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,66,61)\)
- Multiplicity: 936
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,72,54)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,80,66)\)
- Multiplicity: 936
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,60,68)\)
- Multiplicity: 1728
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,61,80)\)
- Multiplicity: 936
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,67,73)\)
- Multiplicity: 38599
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,79,59)\)
- Multiplicity: 1332
- Dimension: 1
- Error: 0
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\(\textbf{a}=(60,73,74)\)
- Multiplicity: 8817
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,65,62)\)
- Multiplicity: 1051
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,71,55)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,79,67)\)
- Multiplicity: 2113
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,59,69)\)
- Multiplicity: 1332
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,60,81)\)
- Multiplicity: 268
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,66,74)\)
- Multiplicity: 30173
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,78,60)\)
- Multiplicity: 3104
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,72,67)\)
- Multiplicity: 45825
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,53,81)\)
- Multiplicity: 9
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,73,79)\)
- Multiplicity: 228
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,59,74)\)
- Multiplicity: 5675
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,79,72)\)
- Multiplicity: 400
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,71,60)\)
- Multiplicity: 6541
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,77,53)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,65,67)\)
- Multiplicity: 21807
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,66,79)\)
- Multiplicity: 2430
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,52,74)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,72,72)\)
- Multiplicity: 25302
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,64,60)\)
- Multiplicity: 4
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,78,65)\)
- Multiplicity: 5429
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,58,67)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,59,79)\)
- Multiplicity: 1332
- Dimension: 1
- Error: 0
\(\textbf{a}=(51,79,77)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,65,72)\)
- Multiplicity: 38461
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,77,58)\)
- Multiplicity: 2365
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,71,65)\)
- Multiplicity: 39907
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,52,79)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,72,77)\)
- Multiplicity: 2365
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,58,72)\)
- Multiplicity: 2365
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,78,70)\)
- Multiplicity: 2326
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,76,51)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,70,58)\)
- Multiplicity: 959
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,64,65)\)
- Multiplicity: 5429
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,65,77)\)
- Multiplicity: 9650
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,77,63)\)
- Multiplicity: 8653
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,71,70)\)
- Multiplicity: 46390
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,72,82)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,58,77)\)
- Multiplicity: 2365
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,78,75)\)
- Multiplicity: 172
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,76,56)\)
- Multiplicity: 988
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,70,63)\)
- Multiplicity: 21490
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,64,70)\)
- Multiplicity: 29814
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,65,82)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,51,77)\)
- Multiplicity: 6
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,71,75)\)
- Multiplicity: 11055
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,63,63)\)
- Multiplicity: 357
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,83,61)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,69,56)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,77,68)\)
- Multiplicity: 7533
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,57,70)\)
- Multiplicity: 310
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,58,82)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,64,75)\)
- Multiplicity: 20064
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,76,61)\)
- Multiplicity: 8725
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,82,54)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,70,68)\)
- Multiplicity: 55793
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,71,80)\)
- Multiplicity: 195
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,57,75)\)
- Multiplicity: 1920
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,77,73)\)
- Multiplicity: 1489
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,69,61)\)
- Multiplicity: 6201
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,75,54)\)
- Multiplicity: 172
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,83,66)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,63,68)\)
- Multiplicity: 12923
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,64,80)\)
- Multiplicity: 1115
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,70,73)\)
- Multiplicity: 29814
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,82,59)\)
- Multiplicity: 45
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,76,66)\)
- Multiplicity: 15238
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,57,80)\)
- Multiplicity: 310
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,77,78)\)
- Multiplicity: 26
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,63,73)\)
- Multiplicity: 24309
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,75,59)\)
- Multiplicity: 5392
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,81,52)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,69,66)\)
- Multiplicity: 43237
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,70,78)\)
- Multiplicity: 2326
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,56,73)\)
- Multiplicity: 639
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,76,71)\)
- Multiplicity: 6541
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,68,59)\)
- Multiplicity: 616
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,74,52)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,82,64)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,62,66)\)
- Multiplicity: 2430
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,63,78)\)
- Multiplicity: 5139
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,69,71)\)
- Multiplicity: 50753
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,81,57)\)
- Multiplicity: 110
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,75,64)\)
- Multiplicity: 20064
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,56,78)\)
- Multiplicity: 639
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,76,76)\)
- Multiplicity: 486
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,62,71)\)
- Multiplicity: 17049
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,74,57)\)
- Multiplicity: 1800
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,68,64)\)
- Multiplicity: 20064
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,82,69)\)
- Multiplicity: 13
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,63,83)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,69,76)\)
- Multiplicity: 10936
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,55,71)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,81,62)\)
- Multiplicity: 345
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,67,57)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,61,64)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,75,69)\)
- Multiplicity: 17457
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,62,76)\)
- Multiplicity: 10936
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,74,62)\)
- Multiplicity: 17049
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,80,55)\)
- Multiplicity: 113
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,68,69)\)
- Multiplicity: 55793
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,69,81)\)
- Multiplicity: 110
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,55,76)\)
- Multiplicity: 486
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,75,74)\)
- Multiplicity: 3358
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,67,62)\)
- Multiplicity: 4602
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,73,55)\)
- Multiplicity: 228
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,81,67)\)
- Multiplicity: 215
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,61,69)\)
- Multiplicity: 6201
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,62,81)\)
- Multiplicity: 345
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,68,74)\)
- Multiplicity: 28530
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,80,60)\)
- Multiplicity: 784
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,74,67)\)
- Multiplicity: 30173
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,55,81)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,75,79)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,61,74)\)
- Multiplicity: 12690
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,81,72)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,73,60)\)
- Multiplicity: 8817
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,79,53)\)
- Multiplicity: 53
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,67,67)\)
- Multiplicity: 38599
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,68,79)\)
- Multiplicity: 1728
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,54,74)\)
- Multiplicity: 116
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,74,72)\)
- Multiplicity: 12690
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,66,60)\)
- Multiplicity: 268
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,72,53)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,80,65)\)
- Multiplicity: 1051
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,60,67)\)
- Multiplicity: 784
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,61,79)\)
- Multiplicity: 2113
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,67,72)\)
- Multiplicity: 45825
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,79,58)\)
- Multiplicity: 959
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,73,65)\)
- Multiplicity: 34440
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,54,79)\)
- Multiplicity: 116
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,74,77)\)
- Multiplicity: 857
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,60,72)\)
- Multiplicity: 7992
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,80,70)\)
- Multiplicity: 310
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,78,51)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,72,58)\)
- Multiplicity: 2365
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,66,65)\)
- Multiplicity: 15238
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,67,77)\)
- Multiplicity: 8653
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,53,72)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,79,63)\)
- Multiplicity: 2645
- Dimension: 1
- Error: 0
\(\textbf{a}=(83,59,65)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,73,70)\)
- Multiplicity: 29814
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,60,77)\)
- Multiplicity: 4799
- Dimension: 1
- Error: 0
\(\textbf{a}=(52,80,75)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,78,56)\)
- Multiplicity: 639
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,72,63)\)
- Multiplicity: 25302
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,66,70)\)
- Multiplicity: 46390
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,67,82)\)
- Multiplicity: 33
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,53,77)\)
- Multiplicity: 83
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,73,75)\)
- Multiplicity: 5392
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,65,63)\)
- Multiplicity: 2645
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,71,56)\)
- Multiplicity: 195
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,79,68)\)
- Multiplicity: 1728
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,59,70)\)
- Multiplicity: 2326
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,60,82)\)
- Multiplicity: 56
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,66,75)\)
- Multiplicity: 22407
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,78,61)\)
- Multiplicity: 3893
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,72,68)\)
- Multiplicity: 45825
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,53,82)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(54,73,80)\)
- Multiplicity: 58
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,59,75)\)
- Multiplicity: 5392
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,79,73)\)
- Multiplicity: 228
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,71,61)\)
- Multiplicity: 11055
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,77,54)\)
- Multiplicity: 208
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,65,68)\)
- Multiplicity: 28530
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,66,80)\)
- Multiplicity: 936
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,52,75)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,72,73)\)
- Multiplicity: 18589
- Dimension: 1
- Error: 0
\(\textbf{a}=(82,64,61)\)
- Multiplicity: 65
- Dimension: 1
- Error: 0
\(\textbf{a}=(63,78,66)\)
- Multiplicity: 5139
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,58,68)\)
- Multiplicity: 159
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,59,80)\)
- Multiplicity: 616
- Dimension: 1
- Error: 0
\(\textbf{a}=(50,79,78)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,65,73)\)
- Multiplicity: 34440
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,77,59)\)
- Multiplicity: 3489
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,71,66)\)
- Multiplicity: 46390
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,52,80)\)
- Multiplicity: 10
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,72,78)\)
- Multiplicity: 1063
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,58,73)\)
- Multiplicity: 2994
- Dimension: 1
- Error: 0
\(\textbf{a}=(58,78,71)\)
- Multiplicity: 1630
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,70,59)\)
- Multiplicity: 2326
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,76,52)\)
- Multiplicity: 20
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,64,66)\)
- Multiplicity: 9388
- Dimension: 1
- Error: 0
\(\textbf{a}=(64,65,78)\)
- Multiplicity: 5429
- Dimension: 1
- Error: 0
\(\textbf{a}=(65,71,71)\)
- Multiplicity: 39907
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,83,57)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,77,64)\)
- Multiplicity: 9388
- Dimension: 1
- Error: 0
\(\textbf{a}=(71,58,78)\)
- Multiplicity: 1630
- Dimension: 1
- Error: 0
\(\textbf{a}=(53,78,76)\)
- Multiplicity: 74
- Dimension: 1
- Error: 0
\(\textbf{a}=(72,64,71)\)
- Multiplicity: 32201
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,76,57)\)
- Multiplicity: 1800
- Dimension: 1
- Error: 0
\(\textbf{a}=(73,70,64)\)
- Multiplicity: 29814
- Dimension: 1
- Error: 0
\(\textbf{a}=(59,65,83)\)
- Multiplicity: 3
- Dimension: 1
- Error: 0
\(\textbf{a}=(78,51,78)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(60,71,76)\)
- Multiplicity: 6541
- Dimension: 1
- Error: 0
\(\textbf{a}=(79,57,71)\)
- Multiplicity: 645
- Dimension: 1
- Error: 0
\(\textbf{a}=(62,83,62)\)
- Multiplicity: 5
- Dimension: 1
- Error: 0
\(\textbf{a}=(81,69,57)\)
- Multiplicity: 110
- Dimension: 1
- Error: 0
\(\textbf{a}=(80,63,64)\)
- Multiplicity: 1115
- Dimension: 1
- Error: 0
\(\textbf{a}=(61,77,69)\)
- Multiplicity: 6201
- Dimension: 1
- Error: 0
\(\textbf{a}=(66,58,83)\)
- Multiplicity: 2
- Dimension: 1
- Error: 0
\(\textbf{a}=(67,64,76)\)
- Multiplicity: 14429
- Dimension: 1
- Error: 0
\(\textbf{a}=(69,76,62)\)
- Multiplicity: 10936
- Dimension: 1
- Error: 0
\(\textbf{a}=(70,82,55)\)
- Multiplicity: 7
- Dimension: 1
- Error: 0
\(\textbf{a}=(68,70,69)\)
- Multiplicity: 55793
- Dimension: 1
- Error: 0
\(\textbf{a}=(55,71,81)\)
- Multiplicity: 40
- Dimension: 1
- Error: 0
\(\textbf{a}=(74,57,76)\)
- Multiplicity: 1800
- Dimension: 1
- Error: 0
\(\textbf{a}=(56,77,74)\)
- Multiplicity: 857
- Dimension: 1
- Error: 0
\(\textbf{a}=(76,69,62)\)
- Multiplicity: 10936
- Dimension: 1
- Error: 0
\(\textbf{a}=(77,75,55)\)
- Multiplicity: 450
- Dimension: 1
- Error: 0
\(\textbf{a}=(57,83,67)\)
- Multiplicity: 1
- Dimension: 1
- Error: 0
\(\textbf{a}=(75,63,69)\)
- Multiplicity: 17457
- Dimension: 1
- Error: 0
Below is a plot displaying the Schur decomposition. In the \(\lambda=(\lambda_0,\lambda_1)\) spot we place \(\beta_{28,\lambda}(2,4;7)\), the multiplicity of \(\textbf{S}_{\lambda}\) occuring in the decomposition of \(K_{28,1}(2,4;7)\). Here \(\lambda\) is the weight \((\lambda_0,\lambda_1,\lambda_2)\) where \(\lambda_2\) is determined by the fact that \(|\lambda|\) equals \(d(p+q)+b\). The dominant weights are displayed in green. Click on an entry for more info!
Below is a plot displaying the multigraded Betti numbers. In the \((a_0,a_1)\) spot we place \(\beta_{28,\textbf{a}}(2,4;7)\). Here \(\textbf{a}\) is the weight \((a_0,a_1,a_2)\) where \(a_2\) is determined by the fact that \(|\textbf{a}|\) equals \(d(p+q)+b\). Entries with error corrected via our Schur decomposition algorithm are in orange. Click on an entry for more info!